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2 years ago

Which expression represents the series

Mathematics

2 answers:

kompoz [17]2 years ago

6 0

That would be the first choice:

5^0 = 1 , 5^1 = 5, 5^2 = 25 and so on up to 5^4 = 625

Umnica [9.8K]2 years ago

6 0

Answer:

The first option is the correct answer.

Step-by-step explanation:

The given series is :

1 + 5 + 25 + 125 + 625

We get ;

$5^0=1$

$5^1=5$

$5^2=25$

$5^3=125$

$5^4=625$

We can see that the power/exponent is ranging from 0 to 4.

So, the first option is the right answer where 'i' goes from 0 to 4.

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Elodia [21]

Answer:

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Step-by-step explanation:

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3 years ago

In the circle below, chord AB passes through the center of circle 0. If the radius OC is perpendicular to chord AB and has lengt

Airida [17]

Answer:

Option (C)

Step-by-step explanation:

In the given circle, AB is a chord passing through the center O.

Therefore,chord AB is a diameter of the circle and OC is the radius.

AO = OB = OC

OC⊥AB, and length of OC = 7 cm

By applying Pythagoras theorem in right ΔBOC,

BC² = OC² + OB²

BC = $\sqrt{OC^{2}+OB^{2}}$

= $\sqrt{7^2+7^2}$

= $7\sqrt{2}$

≈ 9.9 units

Therefore, Option (C) will be the answer.

7 0

3 years ago

Rearrange the steps to solve for the following equation: 2(x-5)=8

OlgaM077 [116]

Answer:

$x=9$

Step-by-step explanation:

$2(x-5)=8$ | Given

$(2x-10)=8$ | Distribute the 2 inside the parentheses

$2x=8+10$ | Add 10 to both sides

$2x=18$ | Add. Optional; not included in your question.

$x=9$ | Divide by 2 on both sides.

4 0

2 years ago

Find the measure of each side of this triangles. Answer in exact form. Find x and y

Firdavs [7]

Answer:

x = 24/√3

4√3 = y

Step-by-step explanation:

We are given that this is a right triangle as well as two angles and a side.

Given that the angles in a triangle add up to 180 degrees, and a right angle is 90 degrees, we can say that the missing angle is equal to

(180-90-30) = 60 degrees

Next, given sohcahtoa, we can say that

sin(30) = opposite/hypotenuse = y/x

cos(30) = adjacent/hypotenuse = 12/x

tan(30) = opposite/adjacent = y/12

We want to only have one variable per equation so we can solve for the variable, so we can use

cos(30) = 12/x and tan(30) = y/12

Starting with cos(30) = 12/x, we can multiply both sides by x to remove the denominator to get

cos(30) * x = 12, and divide both sides by cos(30) to isolate the x and get

x = 12/cos(30). Next, cos(30) = √3/2, so we have

x = 12/(√3/2)

x = (12/1) / (√3/2)

x = (12/1) * (2/√3)

x = 24/√3

For y, we have

tan(30) = y/12

multiply both sides by 12 to isolate the y and remove the denominator

tan(30) * 12 = y

√3/3 * 12 = y

√3 * 4 = y

4√3 = y

4 0

3 years ago

Given that f:x→ax+b and f²:x→4x+9, find the value of the constants a and b

zimovet [89]

Answer:

Step-by-step explanation:

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ax+b =4x+9 so a=4 and b=9

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3 years ago